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Finding the Fourth Proportional to 57,123.84, 78,825.60 and 31,964.16

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Solution

The fourth proportional to 57,123.84, 78,825.60 and 31,964.16 is: 44,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,123.84 : 78,825.60 = 31,964.16 : x
  2. Step 2: Convert to fraction form
    57,123.84/78,825.60 = 31,964.16/x
  3. Step 3: Cross multiply
    57,123.84x = 78,825.60 × 31,964.16
  4. Step 4: Simplify right side
    57,123.84x = 2,519,594,090.50
  5. Step 5: Solve for x
    x = 2,519,594,090.50/57,123.84
  6. Step 6: Final answer
    x = 44,107.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.